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Radiative contributions to quark and lepton masses in grand unified theories
Phys. Rev. D 26, 3701 – Published 15 December, 1982
DOI: https://doi.org/10.1103/PhysRevD.26.3701
Abstract
The mass perturbation and the evolution equation of fermion masses are studied in different gauge models on the basis of the Dyson-Schwinger equation. In theories with spontaneous symmetry breaking, we recover the results obtained using the renormalization-group method for momentum scales well above symmetry breaking and obtain new results for energies close to, or well below, the symmetry-violating scale, where spontaneous symmetry breaking gives an important contribution to the self-mass of a fermion. We examine the contribution to self-masses in the SU(3)× gauge theory and in the SU(3)×SU(2)×U(1) model and discuss the relevance of embedding the standard component model in the structure of SU(5). For asymptotically free grand unified models, the self-masses are individually finite with no constraint on the number of quark or lepton flavors. Within this context we examine the possibility that the proton-neutron mass difference is determined by the very short distance scale associated with the unified theory of the strong, weak, and electromagnetic interactions.
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